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FromTheMoon [43]
3 years ago
6

Expand and simplify (2x+5y) (x-3y)

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
Should be simple:

Let's take this one at a time.

2x(x-3y)

You'd get:
2x^2-3xy
for the first one.

2nd one:
5y(x-3y)
you'd get:
+5xy-3y^2

Put them both together:
2x^2-3xy+5xy-3y^2

Combine like terms.

Your Answer:
2x^2+2xy-3y^2

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if a quadratic equation with real coefficients has a discriminant of -36 then what type of roots does it have
Aleks04 [339]

Step-by-step explanation:

We have,

If a quadratic equation with real coefficients has a discriminant of -36.

The general form of quadratic equation is :

ax^2+bx+c=0

The discriminant of this equation is : D=b^2-4ac

If D=0, it will have 1 real roots

If D>0, it will have 2 real roots

If D<0, it will have no real roots

We have,

D = -36 < 0, so, the quadratic equation will have no real roots.

5 0
3 years ago
The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are t
Natasha2012 [34]

Step-by-step explanation:

let the ration be c

3x and 4x

Now

3x +4x=24

4 0
3 years ago
If the parallel sides of a trapezoid are contained by the lines and , find the equation of the line that contains the midsegment
Fittoniya [83]

Answer:

Equation of midsegment line: y = (-1/4)x + 2.

Step-by-step explanation:

If the parallel sides of a trapezoid are contained by the lines:-

y = (-1/4)x +5 and y = (-1/4)x - 1

Midsegment of any trapezoid is the line segment

1. that is parallel to pair of parallel side of trapezoid and

2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.

It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.

So y = mx + b

where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.

Hence, the equation of midsegment would be y = (-1/4)x + 2.

6 0
3 years ago
Which value of a would make the following statement true? -3(2x + a) = -6x + 15
klemol [59]
Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.

I hope this helps!
6 0
3 years ago
Kiristie is making a pattern out of colored buttons for every 4 blue buttons kirstie uses she uses 3 green she has used 21 buton
Blababa [14]
12 and i have to strech this cuz 20 char long
4 0
4 years ago
Read 2 more answers
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